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مکانیک::
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Assuming high Rey- nolds numbers and the existence of inertial ranges for both the Eulerian veloc- ity spatial spectrum and the Lagrangian velocity frequency spectrum, he
The discrepancy has to do with the way the larger eddies from the energy- containing range of wavenumbers interact with smaller eddies from the inertial range.
On the other hand, an influence of the energy-carrying eddies on the inertial range di?
The partic- ular form given in (10.4) is obtained from the DIA by an asymptotic expansion valid only when the wavenumber k is in the inertial range.
In the present hydromagnetic case, it still may be argued plausibly that the action of the energy range on the inertial range is equivalent to that of spatially uniform fields.،In particular the inertial-range energy spectrum predicted by DIA is (to leading order)
This assumption would not permit the presence of v0 in the inertial-range ex- pression of the energy spectrum, except through an intermittency e?
As we shall discuss in more detail in Section 10.4, turbulence anoma- lous scaling due to inertial-range intermittency is exactly this sort of problem.
Moreover, recent numerical studies of large-N random coupling models for some simple dynamical systems model of turbulence, so-called 'shell mod- els', have found that inertial-range anomalous dimensions vanish proportional to 1/N.
cult problem of inertial-range turbulence scaling.20
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